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21268240 = 2457163233
BaseRepresentation
bin101000100100…
…0011100010000
31111000112112121
41101020130100
520421040430
62035504024
7345530350
oct121103420
944015477
1021268240
1111007164
127158014
134538776
142b78b60
151d01a7a
hex1448710

21268240 has 80 divisors (see below), whose sum is σ = 57103488. Its totient is φ = 7216128.

The previous prime is 21268231. The next prime is 21268249. The reversal of 21268240 is 4286212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21268231) and next prime (21268249).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21268249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91164 + ... + 91396.

Almost surely, 221268240 is an apocalyptic number.

21268240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551744).

21268240 is an abundant number, since it is smaller than the sum of its proper divisors (35835248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21268240 is a wasteful number, since it uses less digits than its factorization.

21268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 21268240 is about 4611.7502100613. The cubic root of 21268240 is about 277.0621398731.

The spelling of 21268240 in words is "twenty-one million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 163 233 280 326 466 560 652 815 932 1141 1165 1304 1630 1631 1864 2282 2330 2608 3260 3262 3728 4564 4660 5705 6520 6524 8155 9128 9320 11410 13040 13048 16310 18256 18640 22820 26096 32620 37979 45640 65240 75958 91280 130480 151916 189895 265853 303832 379790 531706 607664 759580 1063412 1329265 1519160 2126824 2658530 3038320 4253648 5317060 10634120 21268240